Abstract:
A sequence P_n(x) of polynomials in x is holonomic (P-recursive) if it satisfies a linear recurrence with polynomial coefficients in x and n. Many polynomial sequences from combinatorics, representation theory and number theory are shown to be holonomic. It is natural and fundamental to study the degree growth of
holonomic polynomial sequences. We will present a classification of the degree growth of such sequences and show two applications related to combinatorial identities and exponential sums over finite fields respectively. This is a joint work with Jason P. Bell, Daqing Wan, Rong-Hua Wang and Hang Yin.
Degree Growth of Holonomic Polynomial Sequences and Applications
05.04.2024 11:30 - 12:30
Organiser:
M. Schlosser
Location:
SR03, 1.OG, OMP1